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29941229268 = 22321978755621
BaseRepresentation
bin11011111000101000…
…101110011011010100
32212021122201001002100
4123320220232123110
5442304423314033
621431012242100
72106654151416
oct337050563324
985248631070
1029941229268
1111775052785
125977310330
132a92158812
14164070a9b6
15ba38ba513
hex6f8a2e6d4

29941229268 has 72 divisors (see below), whose sum is σ = 79770847520. Its totient is φ = 9442941120.

The previous prime is 29941229221. The next prime is 29941229291. The reversal of 29941229268 is 86292214992.

It is a happy number.

29941229268 is a `hidden beast` number, since 299 + 4 + 1 + 2 + 292 + 68 = 666.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 510498 + ... + 566118.

Almost surely, 229941229268 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 29941229268, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39885423760).

29941229268 is an abundant number, since it is smaller than the sum of its proper divisors (49829618252).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

29941229268 is a wasteful number, since it uses less digits than its factorization.

29941229268 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 56437 (or 56432 counting only the distinct ones).

The product of its digits is 2239488, while the sum is 54.

The spelling of 29941229268 in words is "twenty-nine billion, nine hundred forty-one million, two hundred twenty-nine thousand, two hundred sixty-eight".

Divisors: 1 2 3 4 6 9 12 18 19 36 38 57 76 114 171 228 342 684 787 1574 2361 3148 4722 7083 9444 14166 14953 28332 29906 44859 55621 59812 89718 111242 134577 166863 179436 222484 269154 333726 500589 538308 667452 1001178 1056799 2002356 2113598 3170397 4227196 6340794 9511191 12681588 19022382 38044764 43773727 87547454 131321181 175094908 262642362 393963543 525284724 787927086 831700813 1575854172 1663401626 2495102439 3326803252 4990204878 7485307317 9980409756 14970614634 29941229268